Question

Given the parent function of f(x) = x³, what is the value of k in the translated graph of f(x - h) + k?

Answer 1

The value of k in the translated graph of f(x - h) + k is; k = 2

How to carry out Translations on Graphs?

We are given the parent function of f(x) = x³.

Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;

The rule of translation is;

(x, y) → (x + 3, y + 2)

That means;

The translation is 3 units to the right and 2 units up

The equation of the translated graph is equal to;

f(x) = (x - 3)³ + 2

Thus;

The value of k is equal to 2.

Read more about Graph Translations at; brainly.com/question/4025726

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